Chapter 6
5.0(1)
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50 Terms
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6\.1
The sum of the measures of the interior angles of a quadrilateral is 360 degrees.
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6\.2
If a quadrilateral is a parallelogram, then it's opposite sides are congruent.
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6\.3
If a quadrilateral is a parallelogram, then it's opposite angles are congruent.
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6\.4
If a quadrilateral is a parallelogram, then it's consecutive angles are supplementary.
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6\.5
If a quadrilateral is a parallelogram, then it's diagonals bisect each other.
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6\.6
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
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6\.7
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
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6\.8
If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram.
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6\.9
If the diagonals of a quadrilateral bisects each other, then the quadrilateral is a parallelogram.
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6\.10
If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram.
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6\.11
A parallelogram is a rhombus if and only if it’s diagonals are perpendicular.
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Concave
a polygon that is not convex is concave
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Convex
A polygon is convex if no line that contains a side of the polygon contains a point in the interior of the polygon.
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Equilateral
a polygon in which all sides are congruent
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Equiangular
a polygon in which all interior angles are congruent
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Regular
a polygon that is both equilateral and equiangular
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Diagonal
a segment of a polygon that joins two non consecutive vertices
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Rhombus
a parallelogram with four congruent sides.
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Rectangle
a parellelogram with four right angles.
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Square
a parellelogram with four congruent sides and four right anges
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Parallelogram
a quadrilateral with both pairs of opposite sides parallel.
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triangle
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quadrilateral
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pentagon
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hexagon
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heptagon
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octogon
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nonagon
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decagon
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undecagon
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dodecagon
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SSS
How are the triangles congruent?
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SAS
How are the triangles congruent?
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ASA
How are the triangles congruent?
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AAS
How are the triangles congruent?
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HL
How are the triangles congruent?
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congruent parts of congruent triangles are congruent
CPCTC stands for…
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Linear pair
two adjacent angles that are supplementary
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Midsegment of a trapezoid
segment that contains the midpoints of the legs
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Trapezoid
a quadrilateral with exactly one pair of parallel sides. The parallel sides are the bases.
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Isosceles Trapezoid
if the legs of a trapezoid are congruent, then the trapezoid is an
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Kite
a quadrilateral that has two pairs of consecutive congruent sides, but opposite are not congruent
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6\.12
A parallelogram is a rhombus if each diagonal bisects a pair of opposite angles.
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6\.13
A parallelogram is a rectangle if it’s diagonals are congruent.
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6\.14
If a trapezoid is isosceles, then each pair of base angles are congruent.
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6\.15
If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid.
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6\.16
If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid.
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6\.17
The midsegment of a trapezoid is parallel to each base and it’s length is one half the sum of the lengths of the bases.
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6\.18
If a quadrilateral is a kite, then it’s diagonals are perpendicular.
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6\.19
If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.